10800440 has 64 divisors (see below), whose sum is σ = 29419200. Its totient is φ = 3483648.

The previous prime is 10800437. The next prime is 10800469. The reversal of 10800440 is 4400801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3626 + ... + 5894.

It is an arithmetic number, because the mean of its divisors is an integer number (459675).

Almost surely, 2^10800440 is an apocalyptic number.

10800440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10800440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14709600).

10800440 is an abundant number, since it is smaller than the sum of its proper divisors (18618760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10800440 is a wasteful number, since it uses less digits than its factorization.

10800440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 10800440 is about 3286.4022882173. The cubic root of 10800440 is about 221.0448916811.

The spelling of 10800440 in words is "ten million, eight hundred thousand, four hundred forty".